Li‑Cheng Tsai

My curriculum vitae.

Research interests: Probability theory, particularly the asymptotic behaviors of large interacting particle systems, and the interplay among partial differential equations (PDEs), stochastic PDEs, and integrable probability.

I am currently an Associate Editor of the Journal of Statistical Physics. Before joining Utah, I was a tenure-track Assistant Professor at Rutgers University (2019–2022). I conducted postdoctoral research at Columbia University as a Junior Fellow of the Simons Society of Fellows (2016–2019). I obtained my Ph.D. in Mathematics at Stanford University in 2016.

Publications

See also Google Scholar.

Preprint

1. Log log fluctuations of the stochastic heat flow [arXiv]
   with Yu Gu.
2. Conditional GMC within the stochastic heat flow [arXiv]
   with Jeremy Clark.
3. Stochastic heat flow is a black noise [arXiv]
   with Yu Gu.
4. Stochastic heat flow by moments [arXiv]
5. Solving marginals of the LDP for the directed landscape [arXiv]
   with Sayan Das.

Published / To appear

1. Spacetime limit shapes of the KPZ equation in the upper tails [arXiv]
   with Yier Lin. Comm Math Phys 406 (113) 2025
2. Two dimensional delta Bose gas in a weighted space [arXiv]
   with Sudheesh Surendranath. Electron C Probab 30, 2025
3. High moments of the SHE in the clustering regimes [arXiv]
   Journal of Functional Analysis 288 (1) 110675, 2025
4. Hydrodynamic large deviations of TASEP [arXiv]
   with Jeremy Quastel. Commun Pure Appl Math 78 (5) 913–994, 2025
5. A lower-tail limit in the weak noise theory [arXiv]
   with Yier Lin. Ann inst Henri Poincare (B) Probab Stat 61 (2) 1334–1347, 2025<
6. Integrability in the weak noise theory [arXiv]
   Trans Amer Math Soc 376, 6521–6572, 2023
7. KPZ equation with a small noise, deep upper tail and limit shape [arXiv]
   with Pierre Yves Gaudreau Lamarre and Yier Lin. Probab Theory Related Fields 185 885–920, 2023 [ePDF]
8. Exact lower-tail large deviations of the KPZ equation [arXiv]
   Duke Math J 171 (9) 1879–1922, 2022
9. Large deviations of the KPZ equation via the Stochastic Airy operator [arXiv]
   Advanced Studies in Pure Mathematics 87 415–429, 2021
10. Short time large deviations of the KPZ equation [arXiv][MR]
    with Yier Lin. Comm Math Phys 386 (1) 359–393, 2021
11. Fractional moments of the Stochastic Heat Equation [arXiv][MR]
    with Sayan Das. Ann inst Henri Poincare (B) Probab Stat 57(2) 778–799, 2021
12. Moments of the 2D SHE at criticality [arXiv][MR]
    with Yu Gu and Jeremy Quastel. Probability and Mathematical Physics 2(1) 179–219, 2021
13. SPDE Limit of Weakly Inhomogeneous ASEP [arXiv][MR]
    with Ivan Corwin. Electron J Probab 25 1–55, 2020
14. Stochastic PDE Limit of the Six Vertex Model [arXiv][MR]
    with Ivan Corwin, Promit Ghosal, and Hao Shen. Comm Math Phys 375 1945–2038, 2020
15. Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv][MR]
    with Yu Gu. Ann Appl Probab 29(5) 3037–3061, 2019
16. Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model [arXiv][MR]
    with Hao Shen. Proc Amer Math Soc 147(6) 2685–2705, 2019
17. Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv][MR]
    with Stefano Olla. Electron J Probab 24(16) 1–71, 2019
18. Criticality of a randomly-driven front [arXiv][MR]
    with Amir Dembo. Arch Rational Mech Anal 233(2), 643–699, 2019 [ePDF]
19. Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]
    with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal.
    Phys Rev Lett 121(6) 060201, 2018
20. Stationary Distributions of the Atlas Model [arXiv][MR]
    Electron C Probab 23(10) 1–10, 2018
21. ASEP(q,j) converges to the KPZ equation [arXiv][MR]
    with Ivan Corwin and Hao Shen. Ann inst Henri Poincare (B) Probab Stat 54(2) 995–1012, 2018
22. Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv][MR]
    with Wenpin Tang. Ann Prob 46(3) 1597–1650, 2018
23. Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]
    with Andrey Sarantsev. Electron J Probab 22(56) 1–20, 2017
24. Equilibrium Fluctuation of the Atlas Model [arXiv][MR]
    with Amir Dembo. Ann Prob 45(6B) 4529–4560, 2017
25. KPZ equation limit of higher-spin exclusion processes [arXiv][MR]
    with Ivan Corwin. Ann Prob 45(3) 1771–1798, 2017
26. Infinite Dimensional Stochastic Differential Equations for Dyson's Model
    RIMS Kôkyûroku Bessatsu B59, pp 175–201, 2016
27. Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][MR]
    Probab. Theory Related Fields 166(3) 801–850, 2016 [ePDF]
28. Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]
    with Amir Dembo. Comm Math Phys 341(1) 219–261, 2016
29. Equilibrating effects of boundary and collision in rarefied gases [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm Math Phys 328(2) 421–480, 2014
30. Free molecular flow with boundary effect [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm Math Phys 318(2) 375–409, 2013
31. Viscous shock propagation with boundary effect [MR]
    Bull Inst Math Acad Sin (N.S.) 6(1) 1–25, 2011